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On the long time convergence of non monotone Mean Field Games

Seminário do GFM
FCUL, C6, room 6.2.33
2018-07-02 11:00 .. 12:00
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by Marco Masoero (Université Paris-Dauphine)

We look at the long time behavior of potential Mean field games (briefly MFG) using some standard tools from weak KAM theory. We first show that the time-dependent minimization problem converges to an ergodic constant -λ, then we provide a class of examples where the value of the stationary MFG minimization problem is strictly greater than -λ. This will imply that the trajectories of the time-dependent MFG system do not converge to static equilibria.